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Finding the Fourth Proportional to 182,086.49, 273,240.46 and 76,905.46

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Solution

The fourth proportional to 182,086.49, 273,240.46 and 76,905.46 is: 115,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,086.49 : 273,240.46 = 76,905.46 : x
  2. Step 2: Convert to fraction form
    182,086.49/273,240.46 = 76,905.46/x
  3. Step 3: Cross multiply
    182,086.49x = 273,240.46 × 76,905.46
  4. Step 4: Simplify right side
    182,086.49x = 21,013,683,266.91
  5. Step 5: Solve for x
    x = 21,013,683,266.91/182,086.49
  6. Step 6: Final answer
    x = 115,404.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.